Abstract: Based on the theory of stochastic media, the formulae of terrene dynamic deformationby mining have been derived. According to the formulae two models of the Kalman fil-tering and adapative filtering fitting for dynamic data processing are established in thispaper. The parameters in the formulae, as the state vector of the filtering models, areestimated simultaneously. The dynamic predictive accuracy of two models is higher thanthe tranditional methods, and the model of adaptive filtering can improve the predictiveaccuracy significantly.